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Seminar on singularities of solutions of linear partial differential equations /
Singularities of solutions of differential equations forms the common theme of these papers taken from a seminar held at the Institute for Advanced Study in Princeton in 1977-1978. While some of the lectures were devoted to the analysis of singularities, others focused on applications in spectral th...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, N.J. :
Princeton University Press,
1979.
|
| Colección: | Annals of mathematics studies ;
no. 91. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Seminar on singularities of solutions of linear partial differential equations / |c edited by Lars Hörmander. |
| 260 | |a Princeton, N.J. : |b Princeton University Press, |c 1979. | ||
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file | ||
| 490 | 1 | |a Annals of mathematics studies ; |v no. 91 | |
| 500 | |a "Consists of the notes of a seminar held at the Institute for Advanced Study in 1977-78." | ||
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a Cover; Title; Copyright; CONTENTS; PREFACE; SPECTRAL ANALYSIS OF SINGULARITIES; 1. Introduction; 2. Definition and basic properties of the singular spectrum; 3. The non-characteristic regularity theorem; 4. Pseudo-differential operators; 5. Bicharacteristics and symplectic geometry; 6. Fourier integral operators corresponding to canonical transformations; 7. Further equivalence theorems; 8. Propagation of singularities and semi-global existence theorems for pseudo-differential operators satisfying condition (P); FOURIER INTEGRAL OPERATORS WITH COMPLEX PHASE FUNCTIONS; 0. Introduction. | |
| 505 | 8 | |a 1. Local study2. Lagrangean manifolds associated to phase functions; 3. Global definition of Fourier integral distributions; 4. Fourier integral operators; 5. Application to the exponential of a pseudo-differential operator; HYPOELLIPTIC OPERATORS WITH DOUBLE CHARACTERISTICS; 1. Conditions for hypoellipticity; 2. The asymptotic behavior of the eigenvalues; DIFFERENTIAL BOUNDARY VALUE PROBLEMS OF PRINCIPAL TYPE; 1. Introduction; 2. Examples; 3. Symplectic geometry; 4. Pseudo-differential operators; 5. Fourier integral operators; 6 . Normal forms; 7. Other boundary conditions. | |
| 505 | 8 | |a 8. Higher-order tangency9. Example (2.3) again; PROPAGATION OF SINGULARITIES FOR A CLASS OF OPERATORS WITH DOUBLE CHARACTERISTICS; 0. Introduction; 1. Statement of results; 2. Reduction to canonical form; 3. A simple example; 4. Results independent of the lower order terms; 5. Results depending on the lower order terms; SUBELLIPTIC OPERATORS; 1. Introduction; 2. The Taylor expansion of the principal symbol; 3. Necessary conditions for subellipticity; 4. Local properties of the principal symbol; 5. Estimates for the localized operators; 6. Proof of the sufficiency in Theorem 3.4. | |
| 505 | 8 | |a 7. Calculus lemmas8. Concluding remarks; LACUNAS AND TRANSMISSIONS; 1. Sharp fronts; 2. Transmissions; 3. Boundary value problems; 4. Symmetry of the elementary solution of a hyperbolic equation; 5. Further developments; SOME CLASSICAL THEOREMS IN SPECTRAL THEORY REVISITED; 0. Introduction; 1. The lattice point problem; 2. Weyl-type formulas; 3. Szegö-type formulas I; 4. Szegö-type formulas II; A SZEGÖ THEOREM AND COMPLETE SYMBOLIC CALCULUS FOR PSEUDO-DIFFERENTIAL OPERATORS; 1. Introduction; 2. Pseudo-differential families in R^n; 3. The half-space problem. | |
| 505 | 8 | |a 4. Pseudo-differential operators on manifolds5. The heat expansion; 6. Functional calculus. | |
| 520 | |a Singularities of solutions of differential equations forms the common theme of these papers taken from a seminar held at the Institute for Advanced Study in Princeton in 1977-1978. While some of the lectures were devoted to the analysis of singularities, others focused on applications in spectral theory. As an introduction to the subject, this volume treats current research in the field in such a way that it can be studied with profit by the non-specialist. | ||
| 546 | |a In English. | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 650 | 0 | |a Differential equations, Linear |x Numerical solutions |v Congresses. | |
| 650 | 0 | |a Differential equations, Partial |x Numerical solutions |v Congresses. | |
| 650 | 6 | |a Équations différentielles linéaires |x Solutions numériques |v Congrès. | |
| 650 | 6 | |a Équations aux dérivées partielles |x Solutions numériques |v Congrès. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Differential equations, Linear |x Numerical solutions |2 fast | |
| 650 | 7 | |a Differential equations, Partial |x Numerical solutions |2 fast | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 700 | 1 | |a Hörmander, Lars. | |
| 710 | 2 | |a Institute for Advanced Study (Princeton, N.J.) | |
| 776 | 0 | 8 | |i Print version: |z 0691082219 |z 9780691082219 |w (DLC) 78070300 |w (OCoLC)4834287 |
| 830 | 0 | |a Annals of mathematics studies ; |v no. 91. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt1bd6jvc |z Texto completo |
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